#! -*- encoding: utf-8 -*-
print("""A Pythagorean triplet is a set of three natural numbers, a  b  c, for which,

        a2 + b2 = c2
For example, 32 + 42 = 9 + 16 = 25 = 52.

There exists exactly one Pythagorean triplet for which a + b + c = 1000.
Find the product abc.""")
print("")
print([a * b * (1000 -b -a) for a in range(1, 500+1) for b in range(1, 500+1) if pow(a,2) + pow(b,2) == pow(1000 -b -a,2)][0])
